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98 Cubed

98 cubed, (98)3, is the number you get when multiplying 98 times 98 times 98.

It can also be looked at as exponentiation involving the base 98 and the exponent 3.

The term is usually pronounced 3rd power of ninety-eight or ninety-eight cubed.

The cube of 98 is a perfect cube because the number is the product of the three equal integers 98.

It can be written as 98 × 98 × 98 or in exponential form.

Read on to learn everything about the number ninety-eight cubed, including useful identities.

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(98)3 = 941,192
98 × 98 × 98 = 941,192

The inverse operation of cubing 98 is extracting the cube root of 98, explained here.

In the next section we elaborate on the cube 98.

What is 98 Cubed?

A cube is a three-dimensional shape with 6 equal square faces.

Hence, a cube with side length 98 has an area of 941,192.

The sum and the differences of two cubes, for example with side length 98 and 97, can be calculated with the following formulas:

  1. a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
    With a = 98, b = 97 and the equivalence we get:
    (98)3 = 195 x (982 – 98 × 97 + 972) – 973 = 195 x (9604 – 9506 + 9409) – 912673 = 195 x 9507 – 912673 = 941,192
  2. a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
    With a = 98, b = 97 and the equivalence we get:
    (98)3 = (982 + 98 × 97 + 972) + 973 = 9604 + 9506 + 9409 + 912673 = 941,192

As follows from (1), 98 cubed can be calculated from 97 cubed and 98 squared using the identity:

n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(98)3 = (2 × 98 – 1) × (982 – 98 + 1) – (97)3 = 195 × (9604 – 97) – 912673 = 195 × 9507 – 912673 = 941,192

Using the second formula 98 cubed can be also be computed with this identity:

n3 = (n-1)3 + 3n2 -3n + 1
(98)3 = 973 + 3 × 982 – 3 × 98 + 1 = 912673 + 3 × 9604 – 3 × 98 + 1 = 912673 + 28812 – 294 + 1 = 941,192

If you want to calculate the cube of any number, not only integers like 98, you can use our calculator above.

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A cube similar to 98 is, for example: cube of 100.


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The following table contains the cubes of numbers close to 98.

Table

NumberCube
93804,357
94830,584
95857,375
96884,736
97912,673
98941,192
99970,299
1001,000,000
1011,030,301
1021,061,208
1031,092,727

Ninety-Eight Cubed

You now know everything about the cube 98 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

98 cubed is equivalent to 941,192.

If you were searching for what is 98 cubed in math or if you typed whats 98 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube98, and 98 to the 3rd power, just to name a few more examples people are often looking for.

Note that you can also find many perfect cubes including 98 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

98 cubed = 98 x 98 x 98 = (98)3 = 98 to the 3rd power = 941,192.

The exponentiation form is mostly used to denote 98 cube.

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– Article written by Mark, last updated on November 26th, 2023